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Finding the Third Proportional to 323,158 and 691,244

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Solution

The third proportional to 323,158 and 691,244 is: 1,478,590.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,158 : 691,244 = 691,244 : x
  2. Step 2: Convert to fraction form
    323,158/691,244 = 691,244/x
  3. Step 3: Cross multiply
    323,158x = 691,244 × 691,244
  4. Step 4: Simplify right side
    323,158x = 477,818,267,536
  5. Step 5: Solve for x
    x = 477,818,267,536/323,158
  6. Step 6: Final answer
    x = 1,478,590.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.